Quasinilpotent operators and the invariant subspace problem

被引：42
|
作者：
Read, CJ [1 ]
机构：
[1] Univ Cambridge Trinity Coll, Cambridge CB2 1TQ, England
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1997年 / 56卷
关键词：
D O I：
10.1112/S0024610797005486
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct quasinilpotent operators without nontrivial invariant subspaces. As well as being interesting in its own right, we believe that this is a sensible (perhaps necessary) first step for addressing the difficult problem of constructing topologically simple Banach algebras.
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页码：595 / 606
页数：12
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